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Finding the Third Proportional to 176,262.75 and 264,787.31

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Solution

The third proportional to 176,262.75 and 264,787.31 is: 397,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,262.75 : 264,787.31 = 264,787.31 : x
  2. Step 2: Convert to fraction form
    176,262.75/264,787.31 = 264,787.31/x
  3. Step 3: Cross multiply
    176,262.75x = 264,787.31 × 264,787.31
  4. Step 4: Simplify right side
    176,262.75x = 70,112,320,860.97
  5. Step 5: Solve for x
    x = 70,112,320,860.97/176,262.75
  6. Step 6: Final answer
    x = 397,771.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.